Question

Write 375 as a product of it's Prime Factors
Give your answer in Index form.

Answer 1

375 as a product of it's Prime Factors : $375 = 3^1 \times 5^3$

Solution:

Given that,

We have to write 375 as a product of it prime factors

Prime factorization of a number is done by breaking the given number down into the set of prime numbers which when multiplied together results in the original number

The Prime Factorization is:  3 x 5 x 5 x 5

Therefore, 375 as a product of it prime factors is:

$375 = 3 \times 5 \times 5 \times 5$

In exponential form we can write as,

$375 = 3^1 \times 5^3$

Thus 375 is written as product of its prime factors